Current survey of Clifford geometric algebra applications

E Hitzer, C Lavor, D Hildenbrand - Mathematical Methods in …, 2024 - Wiley Online Library
We extensively survey applications of Clifford Geometric algebra in recent years (mainly
2019–2022). This includes engineering; electric engineering; optical fibers; geographic …

Modeling orientational features via geometric algebra for 3D protein coordinates prediction

A Pepe, J Lasenby - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
Protein structure prediction (PSP) is the prediction of the three‐dimensional (3D) folding of a
protein (its tertiary structure) starting from its amino acid sequence (its primary structure). The …

On factorization of multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by exponentials and idempotents

E Hitzer - Complex Variables and Elliptic Equations, 2023 - Taylor & Francis
In this paper, we consider general multivector elements of Clifford algebras C l (3, 0), C l (1,
2) and C l (0, 3), and look for possibilities to factorize multivectors into products of blades …

Tactile Ergodic Coverage on Curved Surfaces

C Bilaloglu, T Löw, S Calinon - IEEE Transactions on Robotics, 2025 - ieeexplore.ieee.org
In this article, we present a feedback control method for tactile coverage tasks such as
cleaning or surface inspection. Although these tasks are challenging to plan due to the …

A 1d up approach to conformal geometric algebra: applications in line fitting and quantum mechanics

AN Lasenby - Advances in Applied Clifford Algebras, 2020 - Springer
We discuss an alternative approach to the conformal geometric algebra (CGA) in which just
a single extra dimension is necessary, as compared to the two normally used. This is made …

Joint RIS calibration and multi-user positioning

Y Lu, H Chen, J Talvitie, H Wymeersch… - 2022 IEEE 96th …, 2022 - ieeexplore.ieee.org
Reconfigurable intelligent surfaces (RISs) are expected to be a key component enabling the
mobile network evolution towards a flexible and intelligent 6G wireless platform. In most of …

Direct linear interpolation of geometric objects in conformal geometric algebra

H Hadfield, J Lasenby - Advances in Applied Clifford Algebras, 2019 - Springer
Typically we do not add objects in conformal geometric algebra (CGA), rather we apply
operations that preserve grade, usually via rotors, such as rotation, translation, dilation, or …

Using a graph transformer network to predict 3d coordinates of proteins via Geometric Algebra modelling

A Pepe, J Lasenby, P Chacon - … Novel Geometric Algebra for Graphics and …, 2022 - Springer
The state of the art in protein structure prediction (PSP) is currently achieved by complex
deep learning pipelines that require several input features. In this paper, we demonstrate the …

Tactile Ergodic Control Using Diffusion and Geometric Algebra

C Bilaloglu, T Löw, S Calinon - arXiv preprint arXiv:2402.04862, 2024 - arxiv.org
Continuous physical interaction between robots and their environment is a requirement in
many industrial and household tasks, such as sanding and cleaning. Due to the complex …

On factorization of multivectors in C l (2, 1) Cl\left (2, 1\right), by exponentials and idempotents

E Hitzer - Mathematical Methods in the Applied Sciences, 2022 - Wiley Online Library
In this paper, we consider general multivector elements of Clifford algebras C l (2, 1) Cl\left
(2, 1\right) and look for possibilities to factorize multivectors into products of blades …